The radiative capture cross sections of natural niobium and molybdenum are measured relative to that of gold at four neutron energies between 0.7 and 1.4 MeV, using a large liquid scintillation detector and the time-of-flight technique. The neutron capture cross sections from 0.5 to 2.0 MeV for 93Nb and from 0.01 to 2.0 MeV for natural molybdenum are calculated using the optical model and statistical theory. The results are compared with other experimental and calculated data.